Question

Math Help. Greatly Appreciated

Answer 1

So we know that the perimeter is 1260 feet and that the length is 100 more than the width, but we don't know that the width is.
So we're going to start with finding the width.
$w = (x + x + 100) = 1260$
from there we need to combine like terms
$x + x = 2x$
now we have
$2x + 100 = 1260$
From there, we will need to remove 100 from both sides, leaving us with
$2x = 1160$
now we'll need to divide both sides by 2
$2x \div 2x = x$
$1160 \div 2 = 580$
We now know that the width is 580, or more simply put, x=580.

Finding the length will be the easy part, as we know that it is just 100 more than the width
$580 + 100 = 680$
If you want an easier way of finding the length, just subtract the width from the perimeter.
$1260 - 580 = 680$
Leaving the final answer to be
Width = 580
Length = 680